Study of a Biparametric Family of Iterative Methods

B. Campos, A. Cordero, Á. A. Magreñán, J. R. Torregrosa and P. Vindel

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the -iterative methods and the well-known Chebyshev-Halley family. We find the analytical expressions for the fixed and critical points by solving 6-degree polynomials. We use the free critical points to get the parameter planes and, by observing them, we specify some values of with clear stable and unstable behaviors.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:141643

DOI: 10.1155/2014/141643

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